Metastable phase diagram of the Blume-Emery-Griffiths model in addition to the equilibrium phase diagram

Journal of Chemical Physics

Volumn 113, Issue 13, 2000, Pages 5407-5412

  Keskin, Mustafa ^a   Ekiz, Cesur ^a,b  

^a ERCIYES UNIVERSITY   (Turkey)

^b GAZIOSMANPASA UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FREE ENERGY; MAGNETIZATION; PARAMAGNETISM; PHASE TRANSITIONS; THERMAL EFFECTS;

BIQUADRATIC INTERACTIONS; CLUSTER VARIATION METHOD; DIPOLE MOMENT; ENERGY BARRIERS; METASTABLE PHASE DIAGRAM;

PHASE DIAGRAMS;

EID: 0034300389     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1290128     Document Type: Article

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60. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
61. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
62. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
63. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
64. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
65. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
66. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
67. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
68. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
69. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
70. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
71. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
72. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
73. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
74. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
75. A. N. Berker and M. Wortis, Phys. Rev. B 14, 4946 (1976); M. Kaufman, R. B. Griffiths, J. M. Yeomans, and M. E. Fisher, Phys. Rev. B 23, 3448 (1981); O. F. de Alcantara Bonfirm and F. C. Sa Barreto, Phys. Lett. 109A, 341 (1985); A. Benyoussef, N. Boccara, and M. Saber, J. Phys. C 19, 1983 (1986); C. E. J. Carneiro, V. B. Henriques, and S. R. Salinas, J. Phys. A 20, 189 (1987); W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991); C. Buzano and A. Pelizzola, Physica A 189, 333 (1992); R. R. Netz and A. N. Berker, Phys. Rev. B 47, 15019 (1993); A. Rosengren and S. Lapinskas, ibid. 47, 2643 (1993); S. Lapinskas and A. Rosengren, ibid. 49, 15190 (1994); G. Grigelionis and A. Rosengren, Physica A 208, 287 (1994); G. Grigelionis and A. Rosengren, ibid. 208, 287 (1994); B. Buzano, L. R. Evangelista, and A. Pelizzola, Phys. Rev. B 53, 15063 (1996); C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996); A. Falikov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996); A. Bakchich and M. El Bouziani, Phys. Rev. B 56, 11155 (1997); 56, 11161 (1997); E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 206, 83 (1999); 203, 201 (2000).
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